B. Test whether the given function is continuous or not, and classify the discontinuity whether removable or essential. If removable, redefine the function. 1. f(x) = (x³ – 27)/(x – 3) 2. f(x) = (x2 + x – 3)/ (x – 1) 2x if x <0 3. g(x) = 3-x if x20

Q: if x 2 .2 x-4

A: We will choose the function according to limit.

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A: According to the given information, it is required to first graph the given function.

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A:

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A: P

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A:

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² -…

A:

Q: 3. Show algebraically that the function f (x) x* – - 2x + 5 has even, odd or neither symmetry.

A: To find out that the function has even, odd or neither of these symmetry.

Q: Let h be a function with h1(10)=-12, and let g(x)=h(x2+1). Find g1(3).

A: Given:  h'10=-12, gx=hx2+1 Find:g'3 As,   gx=hx2+1 Using Composition of functions and the derivative…

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A: Concavity.

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A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…